TSTP Solution File: PHI007^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : PHI007^5 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:08:33 EDT 2016
% Result : Timeout 300.04s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI007^5 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n008.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 16091.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Mar 25 13:59:42 CDT 2016
% 0.03/0.23 % CPUTime :
% 0.08/0.39 Python 2.7.8
% 0.28/0.91 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.28/0.91 FOF formula (<kernel.Constant object at 0x2b8b032bf2d8>, <kernel.Type object at 0x2b8b032bf320>) of role type named ty_n_t__QML____S5__O__092__060mu__062
% 0.28/0.91 Using role type
% 0.28/0.91 Declaring qML_mu:Type
% 0.28/0.91 FOF formula (<kernel.Constant object at 0x2b8b032bf248>, <kernel.Type object at 0x2b8b0323dc20>) of role type named ty_n_t__QML____S5__Oi
% 0.28/0.91 Using role type
% 0.28/0.91 Declaring qML_i:Type
% 0.28/0.91 FOF formula (<kernel.Constant object at 0x2b8b032bf128>, <kernel.DependentProduct object at 0x2b8afb3166c8>) of role type named sy_c_Inconsistency__S5_OG
% 0.28/0.91 Using role type
% 0.28/0.91 Declaring inconsistency_G:(qML_mu->(qML_i->Prop))
% 0.28/0.91 FOF formula (<kernel.Constant object at 0x2b8b032bf248>, <kernel.DependentProduct object at 0x2b8afb316830>) of role type named sy_c_Inconsistency__S5_ONE_001t__QML____S5__O__092__060mu__062
% 0.28/0.91 Using role type
% 0.28/0.91 Declaring incons1905966852QML_mu:(qML_mu->(qML_i->Prop))
% 0.28/0.91 FOF formula (<kernel.Constant object at 0x2b8b032bf2d8>, <kernel.DependentProduct object at 0x2b8afb3166c8>) of role type named sy_c_Inconsistency__S5_OP
% 0.28/0.91 Using role type
% 0.28/0.91 Declaring inconsistency_P:((qML_mu->(qML_i->Prop))->(qML_i->Prop))
% 0.28/0.91 FOF formula (<kernel.Constant object at 0x2b8b032bf248>, <kernel.DependentProduct object at 0x2b8afb316680>) of role type named sy_c_Inconsistency__S5_Oess_001t__QML____S5__O__092__060mu__062
% 0.28/0.91 Using role type
% 0.28/0.91 Declaring incons1389517216QML_mu:((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))
% 0.28/0.91 FOF formula (<kernel.Constant object at 0x2b8b032bf128>, <kernel.DependentProduct object at 0x2b8b032411b8>) of role type named sy_c_QML__S5_Or
% 0.28/0.91 Using role type
% 0.28/0.91 Declaring qML_r:(qML_i->(qML_i->Prop))
% 0.28/0.91 FOF formula (forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), (((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->(((inconsistency_P X) W)->False))) of role axiom named fact_0_A1a
% 0.28/0.91 A new axiom: (forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), (((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->(((inconsistency_P X) W)->False)))
% 0.28/0.91 FOF formula (forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), ((((inconsistency_P X) W)->False)->((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))) of role axiom named fact_1_A1b
% 0.28/0.91 A new axiom: (forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), ((((inconsistency_P X) W)->False)->((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)))
% 0.28/0.91 FOF formula (forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((inconsistency_P X) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X Xb) V)->((Xa Xb) V))))))->((inconsistency_P Xa) W))) of role axiom named fact_2_A2
% 0.28/0.91 A new axiom: (forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((inconsistency_P X) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X Xb) V)->((Xa Xb) V))))))->((inconsistency_P Xa) W)))
% 0.28/0.91 FOF formula (forall (X_1:qML_i), ((inconsistency_P inconsistency_G) X_1)) of role axiom named fact_3_A3
% 0.28/0.91 A new axiom: (forall (X_1:qML_i), ((inconsistency_P inconsistency_G) X_1))
% 0.28/0.91 FOF formula (forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), (((inconsistency_P X) W)->(forall (V2:qML_i), (((qML_r W) V2)->((inconsistency_P X) V2))))) of role axiom named fact_4_A4
% 0.28/0.91 A new axiom: (forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), (((inconsistency_P X) W)->(forall (V2:qML_i), (((qML_r W) V2)->((inconsistency_P X) V2)))))
% 0.28/0.91 FOF formula (forall (X_1:qML_i), ((inconsistency_P incons1905966852QML_mu) X_1)) of role axiom named fact_5_A5
% 0.28/0.91 A new axiom: (forall (X_1:qML_i), ((inconsistency_P incons1905966852QML_mu) X_1))
% 0.28/0.91 FOF formula (((eq (qML_mu->(qML_i->Prop))) inconsistency_G) (fun (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((inconsistency_P Y) W2)->((Y X2) W2))))) of role axiom named fact_6_G__def
% 0.28/0.91 A new axiom: (((eq (qML_mu->(qML_i->Prop))) inconsistency_G) (fun (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((inconsistency_P Y) W2)->((Y X2) W2)))))
% 0.28/0.91 FOF formula (((eq (qML_mu->(qML_i->Prop))) incons1905966852QML_mu) (fun (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((incons1389517216QML_mu Y) X2) W2)->(forall (V3:qML_i), (((qML_r W2) V3)->((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V3))))))))) of role axiom named fact_7_NE__def
% 4.19/4.76 A new axiom: (((eq (qML_mu->(qML_i->Prop))) incons1905966852QML_mu) (fun (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((incons1389517216QML_mu Y) X2) W2)->(forall (V3:qML_i), (((qML_r W2) V3)->((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V3)))))))))
% 4.19/4.76 FOF formula (((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) incons1389517216QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X2) W2)->(forall (V3:qML_i), (((qML_r W2) V3)->(forall (Z:qML_mu), (((Phi Z) V3)->((Y Z) V3))))))))) of role axiom named fact_8_ess__def
% 4.19/4.76 A new axiom: (((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) incons1389517216QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X2) W2)->(forall (V3:qML_i), (((qML_r W2) V3)->(forall (Z:qML_mu), (((Phi Z) V3)->((Y Z) V3)))))))))
% 4.19/4.76 FOF formula False of role conjecture named conj_0
% 4.19/4.76 Conjecture to prove = False:Prop
% 4.19/4.76 Parameter qML_mu_DUMMY:qML_mu.
% 4.19/4.76 Parameter qML_i_DUMMY:qML_i.
% 4.19/4.76 We need to prove ['False']
% 4.19/4.76 Parameter qML_mu:Type.
% 4.19/4.76 Parameter qML_i:Type.
% 4.19/4.76 Parameter inconsistency_G:(qML_mu->(qML_i->Prop)).
% 4.19/4.76 Parameter incons1905966852QML_mu:(qML_mu->(qML_i->Prop)).
% 4.19/4.76 Parameter inconsistency_P:((qML_mu->(qML_i->Prop))->(qML_i->Prop)).
% 4.19/4.76 Parameter incons1389517216QML_mu:((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop))).
% 4.19/4.76 Parameter qML_r:(qML_i->(qML_i->Prop)).
% 4.19/4.76 Axiom fact_0_A1a:(forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), (((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->(((inconsistency_P X) W)->False))).
% 4.19/4.76 Axiom fact_1_A1b:(forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), ((((inconsistency_P X) W)->False)->((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))).
% 4.19/4.76 Axiom fact_2_A2:(forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))) (Xa:(qML_mu->(qML_i->Prop))), (((and ((inconsistency_P X) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X Xb) V)->((Xa Xb) V))))))->((inconsistency_P Xa) W))).
% 4.19/4.76 Axiom fact_3_A3:(forall (X_1:qML_i), ((inconsistency_P inconsistency_G) X_1)).
% 4.19/4.76 Axiom fact_4_A4:(forall (W:qML_i) (X:(qML_mu->(qML_i->Prop))), (((inconsistency_P X) W)->(forall (V2:qML_i), (((qML_r W) V2)->((inconsistency_P X) V2))))).
% 4.19/4.76 Axiom fact_5_A5:(forall (X_1:qML_i), ((inconsistency_P incons1905966852QML_mu) X_1)).
% 4.19/4.76 Axiom fact_6_G__def:(((eq (qML_mu->(qML_i->Prop))) inconsistency_G) (fun (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((inconsistency_P Y) W2)->((Y X2) W2))))).
% 4.19/4.76 Axiom fact_7_NE__def:(((eq (qML_mu->(qML_i->Prop))) incons1905966852QML_mu) (fun (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((incons1389517216QML_mu Y) X2) W2)->(forall (V3:qML_i), (((qML_r W2) V3)->((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V3))))))))).
% 4.19/4.76 Axiom fact_8_ess__def:(((eq ((qML_mu->(qML_i->Prop))->(qML_mu->(qML_i->Prop)))) incons1389517216QML_mu) (fun (Phi:(qML_mu->(qML_i->Prop))) (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), (((Y X2) W2)->(forall (V3:qML_i), (((qML_r W2) V3)->(forall (Z:qML_mu), (((Phi Z) V3)->((Y Z) V3))))))))).
% 4.19/4.76 Trying to prove False
% 4.19/4.76 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 4.19/4.76 Found (fact_5_A5 W) as proof of ((inconsistency_P X) W)
% 4.19/4.76 Found (fact_5_A5 W) as proof of ((inconsistency_P X) W)
% 4.19/4.76 Found (fact_5_A5 W) as proof of ((inconsistency_P X) W)
% 4.19/4.76 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 4.19/4.76 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 4.19/4.76 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 4.19/4.76 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 4.19/4.76 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 4.19/4.76 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 4.19/4.76 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 4.19/4.76 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 4.19/4.76 Found x00:=(x0 x):(((X Xb) V)->False)
% 4.19/4.76 Found (x0 x) as proof of (((X Xb) V)->False)
% 5.29/5.89 Found (x0 x) as proof of (((X Xb) V)->False)
% 5.29/5.89 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 5.29/5.89 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 5.29/5.89 Found (fun (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 5.29/5.89 Found (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 5.29/5.89 Found (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 5.29/5.89 Found x:((inconsistency_P X) W)
% 5.29/5.89 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 5.29/5.89 Found x as proof of ((inconsistency_P X0) W)
% 5.29/5.89 Found x:((inconsistency_P X) W)
% 5.29/5.89 Instantiate: X:=(fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 5.29/5.89 Found x as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 5.29/5.89 Found x00:=(x0 x):(((X Xb) V)->False)
% 5.29/5.89 Found (x0 x) as proof of (((X Xb) V)->False)
% 5.29/5.89 Found (x0 x) as proof of (((X Xb) V)->False)
% 5.29/5.89 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 5.29/5.89 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 5.29/5.89 Found (fun (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 5.29/5.89 Found (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 5.29/5.89 Found (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 5.29/5.89 Found x:((inconsistency_P X) W)
% 5.29/5.89 Instantiate: W0:=W:qML_i
% 5.29/5.89 Found x as proof of ((inconsistency_P X) W0)
% 5.29/5.89 Found x:((inconsistency_P X) W)
% 5.29/5.89 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 5.29/5.89 Found x as proof of ((inconsistency_P X0) W)
% 5.29/5.89 Found x:((inconsistency_P X) W)
% 5.29/5.89 Instantiate: W0:=W:qML_i
% 5.29/5.89 Found x as proof of ((inconsistency_P X) W0)
% 5.29/5.89 Found x100:=(x10 x):False
% 5.29/5.89 Found (x10 x) as proof of False
% 5.29/5.89 Found ((x1 x0) x) as proof of False
% 5.29/5.89 Found ((x1 x0) x) as proof of False
% 5.29/5.89 Found (fun (x1:((X Xb) V))=> ((x1 x0) x)) as proof of False
% 5.29/5.89 Found (fun (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)) as proof of (((X Xb) V)->False)
% 5.29/5.89 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 5.29/5.89 Found (fun (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 5.29/5.89 Found (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 5.29/5.89 Found (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 5.29/5.89 Found ((conj00 (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 5.29/5.89 Found (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 5.29/5.89 Found ((((conj ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 7.94/8.51 Found ((((conj ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 7.94/8.51 Found (fact_2_A2000 ((((conj ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)
% 7.94/8.51 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) ((((conj ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((X0 Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)
% 7.94/8.51 Found (((fact_2_A20 inconsistency_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) ((((conj ((inconsistency_P inconsistency_G) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((inconsistency_G Xb) V)->(((X Xb) V)->False)))))) (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((inconsistency_G Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)
% 7.94/8.51 Found ((((fact_2_A2 W) inconsistency_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) ((((conj ((inconsistency_P inconsistency_G) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((inconsistency_G Xb) V)->(((X Xb) V)->False)))))) (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((inconsistency_G Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)
% 7.94/8.51 Found ((((fact_2_A2 W) inconsistency_G) (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) ((((conj ((inconsistency_P inconsistency_G) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((inconsistency_G Xb) V)->(((X Xb) V)->False)))))) (fact_3_A3 W)) (fun (V:qML_i) (x:((qML_r W) V)) (Xb:qML_mu) (x0:((inconsistency_G Xb) V)) (x1:((X Xb) V))=> ((x1 x0) x)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)
% 7.94/8.51 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 7.94/8.51 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 7.94/8.51 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) W)->False)
% 7.94/8.51 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) W)->False)
% 7.94/8.51 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 7.94/8.51 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 7.94/8.51 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 7.94/8.51 Found eq_ref00:=(eq_ref0 W):(((eq qML_i) W) W)
% 7.94/8.51 Found (eq_ref0 W) as proof of (((eq qML_i) W) b)
% 7.94/8.51 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 7.94/8.51 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 7.94/8.51 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 7.94/8.51 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 7.94/8.51 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 15.57/16.16 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 15.57/16.16 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 15.57/16.16 Found x:((inconsistency_P X) W)
% 15.57/16.16 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 15.57/16.16 Found x as proof of ((inconsistency_P X1) W)
% 15.57/16.16 Found x:((inconsistency_P X) W)
% 15.57/16.16 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W0:=W:qML_i
% 15.57/16.16 Found x as proof of ((inconsistency_P X0) W0)
% 15.57/16.16 Found x:((inconsistency_P X) W)
% 15.57/16.16 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 15.57/16.16 Found x as proof of ((inconsistency_P X0) W0)
% 15.57/16.16 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 15.57/16.16 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 15.57/16.16 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 15.57/16.16 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->False)
% 15.57/16.16 Found (fun (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X1 Xb) V)->(((X0 Xb) V)->False))
% 15.57/16.16 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))
% 15.57/16.16 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))
% 15.57/16.16 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))
% 15.57/16.16 Found x10:=(x1 x0):(((X Xb) V)->False)
% 15.57/16.16 Found (x1 x0) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (x1 x0) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 15.57/16.16 Found (fun (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 15.57/16.16 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 15.57/16.16 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 15.57/16.16 Found x10:=(x1 x0):(((X Xb) V)->False)
% 15.57/16.16 Found (x1 x0) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (x1 x0) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 15.57/16.16 Found (fun (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 15.57/16.16 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 15.57/16.16 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 15.57/16.16 Found fact_3_A30:=(fact_3_A3 W0):((inconsistency_P inconsistency_G) W0)
% 15.57/16.16 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 15.57/16.16 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 15.57/16.16 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 15.57/16.16 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 15.57/16.16 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 15.57/16.16 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 15.57/16.16 Found x00:=(x0 x):(((X Xb) V)->False)
% 15.57/16.16 Found (x0 x) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (x0 x) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 15.57/16.16 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 15.57/16.16 Found (fun (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 15.57/16.16 Found (fun (V:qML_i) (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 15.57/16.16 Found (fun (V:qML_i) (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 18.33/18.92 Found x:((inconsistency_P X) W0)
% 18.33/18.92 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=W0:qML_i
% 18.33/18.92 Found x as proof of ((inconsistency_P X0) W)
% 18.33/18.92 Found x400:=(x40 x2):False
% 18.33/18.92 Found (x40 x2) as proof of False
% 18.33/18.92 Found ((x4 x3) x2) as proof of False
% 18.33/18.92 Found ((x4 x3) x2) as proof of False
% 18.33/18.92 Found (fun (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of False
% 18.33/18.92 Found (fun (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((X1 Xb0) V0)->False)
% 18.33/18.92 Found (fun (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((X0 Xb0) V0)->(((X1 Xb0) V0)->False))
% 18.33/18.92 Found (fun (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False)))
% 18.33/18.92 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False))))
% 18.33/18.92 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))
% 18.33/18.92 Found ((conj01 (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 18.33/18.92 Found (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 18.33/18.92 Found (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 18.33/18.92 Found (fact_2_A2001 (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 18.33/18.92 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 18.33/18.92 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 18.33/18.92 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 18.33/18.92 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 18.33/18.92 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) W0)->False)
% 18.33/18.92 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) W0)->False)
% 18.33/18.92 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 18.33/18.92 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 23.87/24.46 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 23.87/24.46 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 23.87/24.46 Found eq_ref00:=(eq_ref0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))):(((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 23.87/24.46 Found (eq_ref0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 23.87/24.48 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 23.87/24.48 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 23.87/24.48 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 23.87/24.48 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 23.87/24.48 Found (eq_ref0 b) as proof of (((eq qML_i) b) W)
% 23.87/24.48 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 23.87/24.48 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 23.87/24.48 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 23.87/24.48 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 23.87/24.48 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 23.87/24.48 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 23.87/24.48 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 23.87/24.48 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 23.87/24.48 Found or_second:=(fun (A:Prop) (B:Prop) (x:((or A) B))=> (((or_first B) A) (((or_comm_i A) B) x))):(forall (A:Prop) (B:Prop), (((or A) B)->((A->B)->B)))
% 23.87/24.48 Instantiate: b:=(forall (A:Prop) (B:Prop), (((or A) B)->((A->B)->B))):Prop
% 23.87/24.48 Found or_second as proof of b
% 23.87/24.48 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 23.87/24.48 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 23.87/24.48 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 23.87/24.48 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 23.87/24.48 Found ((conj00 (fact_5_A5 W)) or_second) as proof of (P b)
% 23.87/24.48 Found (((conj0 b) (fact_5_A5 W)) or_second) as proof of (P b)
% 23.87/24.48 Found ((((conj ((inconsistency_P X0) W)) b) (fact_5_A5 W)) or_second) as proof of (P b)
% 23.87/24.48 Found ((((conj ((inconsistency_P X0) W)) b) (fact_5_A5 W)) or_second) as proof of (P b)
% 23.87/24.48 Found fact_5_A50:=(fact_5_A5 W0):((inconsistency_P incons1905966852QML_mu) W0)
% 23.87/24.48 Found (fact_5_A5 W0) as proof of ((inconsistency_P X1) W0)
% 23.87/24.48 Found (fact_5_A5 W0) as proof of ((inconsistency_P X1) W0)
% 23.87/24.48 Found (fact_5_A5 W0) as proof of ((inconsistency_P X1) W0)
% 23.87/24.48 Found fact_3_A30:=(fact_3_A3 b):((inconsistency_P inconsistency_G) b)
% 23.87/24.48 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 23.87/24.48 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 23.87/24.48 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 23.87/24.48 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 23.87/24.48 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 23.87/24.48 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 23.87/24.48 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 23.87/24.48 Found fact_5_A50:=(fact_5_A5 b):((inconsistency_P incons1905966852QML_mu) b)
% 23.87/24.48 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 30.48/31.08 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 30.48/31.08 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 30.48/31.08 Found x00:=(x0 x):(((X Xb) V)->False)
% 30.48/31.08 Found (x0 x) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (x0 x) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 30.48/31.08 Found (fun (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 30.48/31.08 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 30.48/31.08 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 30.48/31.08 Found x:((inconsistency_P X) b)
% 30.48/31.08 Instantiate: W0:=b:qML_i
% 30.48/31.08 Found x as proof of ((inconsistency_P X) W0)
% 30.48/31.08 Found x00:=(x0 x):(((X Xb) V)->False)
% 30.48/31.08 Found (x0 x) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (x0 x) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 30.48/31.08 Found (fun (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 30.48/31.08 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 30.48/31.08 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 30.48/31.08 Found x000:=(x00 x0):(((X Xb) V)->False)
% 30.48/31.08 Found (x00 x0) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (x00 x0) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (fun (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X Xb) V)->False)
% 30.48/31.08 Found (fun (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 30.48/31.08 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 30.48/31.08 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 30.48/31.08 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of b
% 30.48/31.08 Found eq_ref00:=(eq_ref0 W0):(((eq qML_i) W0) W0)
% 30.48/31.08 Found (eq_ref0 W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found eq_ref00:=(eq_ref0 W):(((eq qML_i) W) W)
% 30.48/31.08 Found (eq_ref0 W) as proof of (((eq qML_i) W) b)
% 30.48/31.08 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 30.48/31.08 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 30.48/31.08 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 30.48/31.08 Found eq_ref00:=(eq_ref0 W0):(((eq qML_i) W0) W0)
% 30.48/31.08 Found (eq_ref0 W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found eq_ref00:=(eq_ref0 W):(((eq qML_i) W) W)
% 30.48/31.08 Found (eq_ref0 W) as proof of (((eq qML_i) W) b)
% 30.48/31.08 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 30.48/31.08 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 30.48/31.08 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 30.48/31.08 Found eq_ref00:=(eq_ref0 W0):(((eq qML_i) W0) W0)
% 30.48/31.08 Found (eq_ref0 W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 30.48/31.08 Found x:((qML_r W) V)
% 30.48/31.08 Instantiate: W:=V:qML_i;W0:=W:qML_i
% 30.48/31.08 Found x as proof of ((qML_r W0) W)
% 30.48/31.08 Found x:((inconsistency_P X) b)
% 30.48/31.08 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=b:qML_i
% 30.48/31.08 Found x as proof of ((inconsistency_P X0) W)
% 30.48/31.08 Found x:((inconsistency_P X) b)
% 46.63/47.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 46.63/47.23 Found x as proof of ((inconsistency_P X0) W)
% 46.63/47.23 Found x2:((inconsistency_P X1) W)
% 46.63/47.23 Instantiate: X2:=X1:(qML_mu->(qML_i->Prop))
% 46.63/47.23 Found x2 as proof of ((inconsistency_P X2) W)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: X2:=X:(qML_mu->(qML_i->Prop))
% 46.63/47.23 Found x as proof of ((inconsistency_P X2) W)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 46.63/47.23 Found x as proof of ((inconsistency_P X1) W0)
% 46.63/47.23 Found x2:((inconsistency_P X1) W)
% 46.63/47.23 Instantiate: W0:=W:qML_i
% 46.63/47.23 Found x2 as proof of ((inconsistency_P X1) W0)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 46.63/47.23 Found x as proof of ((inconsistency_P X1) W0)
% 46.63/47.23 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 46.63/47.23 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 46.63/47.23 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 46.63/47.23 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 46.63/47.23 Found x as proof of ((inconsistency_P X1) W)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: W0:=W:qML_i
% 46.63/47.23 Found x as proof of ((inconsistency_P X) W0)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 46.63/47.23 Found x as proof of ((inconsistency_P X1) W)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: W1:=W:qML_i
% 46.63/47.23 Found x as proof of ((inconsistency_P X) W1)
% 46.63/47.23 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 46.63/47.23 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 46.63/47.23 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: W1:=W:qML_i
% 46.63/47.23 Found x as proof of ((inconsistency_P X) W1)
% 46.63/47.23 Found x30:=(x3 x2):(((X1 Xb0) V0)->False)
% 46.63/47.23 Found (x3 x2) as proof of (((X1 Xb0) V0)->False)
% 46.63/47.23 Found (x3 x2) as proof of (((X1 Xb0) V0)->False)
% 46.63/47.23 Found (fun (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((X1 Xb0) V0)->False)
% 46.63/47.23 Found (fun (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 46.63/47.23 Found (fun (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 46.63/47.23 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 46.63/47.23 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: X1:=X:(qML_mu->(qML_i->Prop));W0:=W:qML_i
% 46.63/47.23 Found x as proof of ((inconsistency_P X1) W0)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W1:=W:qML_i
% 46.63/47.23 Found x as proof of ((inconsistency_P X0) W1)
% 46.63/47.23 Found x:((inconsistency_P X) W)
% 46.63/47.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W1:=W:qML_i
% 46.63/47.23 Found x as proof of ((inconsistency_P X0) W1)
% 46.63/47.23 Found x400:=(x40 x2):False
% 46.63/47.23 Found (x40 x2) as proof of False
% 46.63/47.23 Found ((x4 x3) x2) as proof of False
% 46.63/47.23 Found ((x4 x3) x2) as proof of False
% 46.63/47.23 Found (fun (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of False
% 46.63/47.23 Found (fun (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((X1 Xb0) V0)->False)
% 46.63/47.23 Found (fun (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((X0 Xb0) V0)->(((X1 Xb0) V0)->False))
% 46.63/47.23 Found (fun (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False)))
% 46.63/47.23 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False))))
% 46.63/47.23 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))
% 46.63/47.23 Found ((conj01 (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 47.98/48.62 Found (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 47.98/48.62 Found (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 47.98/48.62 Found (fact_2_A2001 (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 47.98/48.62 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 47.98/48.62 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 47.98/48.62 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W)) (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 47.98/48.62 Found fact_0_A1a000:=(fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x2)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 47.98/48.62 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 47.98/48.62 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x2)) as proof of (((inconsistency_P X2) W)->False)
% 47.98/48.62 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x2)) as proof of (((inconsistency_P X2) W)->False)
% 47.98/48.62 Found (fact_1_A1b01 (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 47.98/48.62 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 47.98/48.62 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 47.98/48.62 Found fact_0_A1a010:=(fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W))=> ((fact_0_A1a01 x3) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)->False)
% 47.98/48.62 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 47.98/48.62 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W))=> ((fact_0_A1a01 x3) x)) as proof of (((inconsistency_P X2) W)->False)
% 47.98/48.62 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W))=> ((fact_0_A1a01 x3) x)) as proof of (((inconsistency_P X2) W)->False)
% 51.62/52.18 Found (fact_1_A1b01 (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W))=> ((fact_0_A1a01 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 51.62/52.18 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W))=> ((fact_0_A1a01 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 51.62/52.18 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W))=> ((fact_0_A1a01 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 51.62/52.18 Found fact_0_A1a000:=(fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 51.62/52.18 Instantiate: X1:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 51.62/52.18 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)) as proof of (((inconsistency_P X1) W)->False)
% 51.62/52.18 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)) as proof of (((inconsistency_P X1) W)->False)
% 51.62/52.18 Found (fact_1_A1b01 (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 51.62/52.18 Found ((fact_1_A1b0 X1) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 51.62/52.18 Found ((fact_1_A1b0 X1) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 51.62/52.18 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 51.62/52.18 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 51.62/52.18 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 51.62/52.18 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 51.62/52.18 Found fact_0_A1a000:=(fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 51.62/52.18 Instantiate: X1:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 51.62/52.18 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)) as proof of (((inconsistency_P X1) W)->False)
% 51.62/52.18 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)) as proof of (((inconsistency_P X1) W)->False)
% 51.62/52.18 Found (fact_1_A1b01 (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 51.62/52.18 Found ((fact_1_A1b0 X1) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 51.62/52.18 Found ((fact_1_A1b0 X1) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)
% 51.62/52.18 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 51.62/52.18 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 51.62/52.18 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 51.62/52.18 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->False)
% 51.62/52.18 Found (fun (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X1 Xb) V)->(((X0 Xb) V)->False))
% 51.62/52.18 Found (fun (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))
% 51.62/52.18 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))
% 51.62/52.18 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))
% 53.51/54.09 Found fact_0_A1a000:=(fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 53.51/54.09 Instantiate: X1:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 53.51/54.09 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)) as proof of (((inconsistency_P X1) W)->False)
% 53.51/54.09 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)) as proof of (((inconsistency_P X1) W)->False)
% 53.51/54.09 Found (fact_1_A1b01 (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 53.51/54.09 Found ((fact_1_A1b0 X1) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 53.51/54.09 Found ((fact_1_A1b0 X1) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 53.51/54.09 Found x10:=(x1 x0):(((X Xb) V)->False)
% 53.51/54.09 Found (x1 x0) as proof of (((X Xb) V)->False)
% 53.51/54.09 Found (x1 x0) as proof of (((X Xb) V)->False)
% 53.51/54.09 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 53.51/54.09 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 53.51/54.09 Found (fun (x0:((qML_r W1) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 53.51/54.09 Found (fun (V:qML_i) (x0:((qML_r W1) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r W1) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 53.51/54.09 Found (fun (V:qML_i) (x0:((qML_r W1) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W1) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 53.51/54.09 Found fact_0_A1a000:=(fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 53.51/54.09 Instantiate: X1:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 53.51/54.09 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)) as proof of (((inconsistency_P X1) W)->False)
% 53.51/54.09 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x)) as proof of (((inconsistency_P X1) W)->False)
% 53.51/54.09 Found (fact_1_A1b01 (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 53.51/54.09 Found ((fact_1_A1b0 X1) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 53.51/54.09 Found ((fact_1_A1b0 X1) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x3) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 53.51/54.09 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 53.51/54.09 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 53.51/54.09 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 53.51/54.09 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 53.51/54.09 Found x10:=(x1 x0):(((X Xb) V)->False)
% 53.51/54.09 Found (x1 x0) as proof of (((X Xb) V)->False)
% 53.51/54.09 Found (x1 x0) as proof of (((X Xb) V)->False)
% 53.51/54.09 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 53.51/54.09 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 53.51/54.09 Found (fun (x0:((qML_r W1) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 57.67/58.23 Found (fun (V:qML_i) (x0:((qML_r W1) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r W1) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 57.67/58.23 Found (fun (V:qML_i) (x0:((qML_r W1) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W1) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 57.67/58.23 Found fact_5_A50:=(fact_5_A5 W1):((inconsistency_P incons1905966852QML_mu) W1)
% 57.67/58.23 Found (fact_5_A5 W1) as proof of ((inconsistency_P X0) W1)
% 57.67/58.23 Found (fact_5_A5 W1) as proof of ((inconsistency_P X0) W1)
% 57.67/58.23 Found (fact_5_A5 W1) as proof of ((inconsistency_P X0) W1)
% 57.67/58.23 Found x000:=(x00 x0):(((X Xb) V)->False)
% 57.67/58.23 Found (x00 x0) as proof of (((X Xb) V)->False)
% 57.67/58.23 Found (x00 x0) as proof of (((X Xb) V)->False)
% 57.67/58.23 Found (fun (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X Xb) V)->False)
% 57.67/58.23 Found (fun (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 57.67/58.23 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 57.67/58.23 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 57.67/58.23 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of b
% 57.67/58.23 Found fact_3_A30:=(fact_3_A3 W00):((inconsistency_P inconsistency_G) W00)
% 57.67/58.23 Found (fact_3_A3 W00) as proof of ((inconsistency_P X0) W00)
% 57.67/58.23 Found (fact_3_A3 W00) as proof of ((inconsistency_P X0) W00)
% 57.67/58.23 Found (fact_3_A3 W00) as proof of ((inconsistency_P X0) W00)
% 57.67/58.23 Found x:((inconsistency_P X) W0)
% 57.67/58.23 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 57.67/58.23 Found x as proof of ((inconsistency_P X1) W)
% 57.67/58.23 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 57.67/58.23 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 57.67/58.23 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) b)->False)
% 57.67/58.23 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) b)->False)
% 57.67/58.23 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 57.67/58.23 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 57.67/58.23 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 57.67/58.23 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 57.67/58.23 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 57.67/58.23 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) b)->False)
% 57.67/58.23 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) b)->False)
% 57.67/58.23 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 57.67/58.23 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 57.67/58.23 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 69.01/69.57 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 69.01/69.57 Found fact_3_A30:=(fact_3_A3 b):((inconsistency_P inconsistency_G) b)
% 69.01/69.57 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 69.01/69.57 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 69.01/69.57 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 69.01/69.57 Found fact_5_A50:=(fact_5_A5 b):((inconsistency_P incons1905966852QML_mu) b)
% 69.01/69.57 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 69.01/69.57 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 69.01/69.57 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 69.01/69.57 Found x:((inconsistency_P X) W1)
% 69.01/69.57 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=W1:qML_i
% 69.01/69.57 Found x as proof of ((inconsistency_P X0) W)
% 69.01/69.57 Found x:((qML_r W0) V)
% 69.01/69.57 Instantiate: W:=V:qML_i
% 69.01/69.57 Found x as proof of ((qML_r W0) W)
% 69.01/69.57 Found x:((qML_r W0) V)
% 69.01/69.57 Instantiate: W:=V:qML_i
% 69.01/69.57 Found x as proof of ((qML_r W0) W)
% 69.01/69.57 Found x:((inconsistency_P X) b)
% 69.01/69.57 Instantiate: W0:=b:qML_i
% 69.01/69.57 Found x as proof of ((inconsistency_P X) W0)
% 69.01/69.57 Found x00:=(x0 x):(((X Xb) V)->False)
% 69.01/69.57 Found (x0 x) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (x0 x) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 69.01/69.57 Found (fun (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 69.01/69.57 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 69.01/69.57 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 69.01/69.57 Found x00:=(x0 x):(((X Xb) V)->False)
% 69.01/69.57 Found (x0 x) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (x0 x) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 69.01/69.57 Found (fun (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 69.01/69.57 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 69.01/69.57 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 69.01/69.57 Found x:((inconsistency_P X) W00)
% 69.01/69.57 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W00:=W0:qML_i
% 69.01/69.57 Found x as proof of ((inconsistency_P X0) W)
% 69.01/69.57 Found x00:=(x0 x):(((X Xb) V)->False)
% 69.01/69.57 Found (x0 x) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (x0 x) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 69.01/69.57 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 69.01/69.57 Found (fun (x:((qML_r W1) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 69.01/69.57 Found (fun (V:qML_i) (x:((qML_r W1) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r W1) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 69.01/69.57 Found (fun (V:qML_i) (x:((qML_r W1) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r W1) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 69.01/69.57 Found x:((inconsistency_P X) b)
% 69.01/69.57 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=b:qML_i
% 69.01/69.57 Found x as proof of ((inconsistency_P X0) W)
% 69.01/69.57 Found x:((inconsistency_P X) b)
% 69.01/69.57 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 69.01/69.57 Found x as proof of ((inconsistency_P X0) W)
% 69.01/69.57 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 69.01/69.57 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 69.01/69.57 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 69.01/69.57 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->False)
% 80.00/80.58 Found (fun (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X1 Xb) V)->(((X0 Xb) V)->False))
% 80.00/80.58 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))
% 80.00/80.58 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))
% 80.00/80.58 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))
% 80.00/80.58 Found x00:=(x0 x):(((X Xb) V)->False)
% 80.00/80.58 Found (x0 x) as proof of (((X Xb) V)->False)
% 80.00/80.58 Found (x0 x) as proof of (((X Xb) V)->False)
% 80.00/80.58 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 80.00/80.58 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 80.00/80.58 Found (fun (x:((qML_r W00) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 80.00/80.58 Found (fun (V:qML_i) (x:((qML_r W00) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r W00) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 80.00/80.58 Found (fun (V:qML_i) (x:((qML_r W00) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r W00) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 80.00/80.58 Found fact_3_A30:=(fact_3_A3 W0):((inconsistency_P inconsistency_G) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found fact_3_A30:=(fact_3_A3 W0):((inconsistency_P inconsistency_G) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found fact_3_A30:=(fact_3_A3 W0):((inconsistency_P inconsistency_G) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found fact_3_A30:=(fact_3_A3 W0):((inconsistency_P inconsistency_G) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found fact_3_A30:=(fact_3_A3 W0):((inconsistency_P inconsistency_G) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found fact_3_A30:=(fact_3_A3 W0):((inconsistency_P inconsistency_G) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 80.00/80.58 Found x400:=(x40 x2):False
% 80.00/80.58 Found (x40 x2) as proof of False
% 80.00/80.58 Found ((x4 x3) x2) as proof of False
% 80.00/80.58 Found ((x4 x3) x2) as proof of False
% 80.00/80.58 Found (fun (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of False
% 80.00/80.58 Found (fun (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((X1 Xb0) V0)->False)
% 80.00/80.58 Found (fun (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((X0 Xb0) V0)->(((X1 Xb0) V0)->False))
% 80.00/80.58 Found (fun (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False)))
% 80.00/80.58 Found (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False))))
% 80.00/80.58 Found (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))
% 80.00/80.58 Found ((conj01 (fact_3_A3 W0)) (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W0)) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 80.00/80.58 Found (((conj0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W0)) (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W0)) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 80.50/81.08 Found (((conj0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W0)) (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2))) as proof of ((and ((inconsistency_P X0) W0)) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 80.50/81.08 Found (fact_2_A2001 (((conj0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W0)) (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 80.50/81.08 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W0)) (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 80.50/81.08 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W0)) (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 80.50/81.08 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 W0)) (fun (V0:qML_i) (x2:((qML_r W0) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x2)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 80.50/81.08 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 80.50/81.08 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 80.50/81.08 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) b)->False)
% 80.50/81.08 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) b)->False)
% 80.50/81.08 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 80.50/81.08 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 80.50/81.08 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 80.50/81.08 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 80.50/81.08 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 80.50/81.08 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) b)->False)
% 80.50/81.08 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) b)->False)
% 80.50/81.08 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 80.50/81.08 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 82.63/83.17 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 82.63/83.17 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 82.63/83.17 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 82.63/83.17 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 82.63/83.17 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) W1)->False)
% 82.63/83.17 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) W1)->False)
% 82.63/83.17 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 82.63/83.17 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 82.63/83.17 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 82.63/83.17 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 82.63/83.17 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 82.63/83.17 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 82.63/83.17 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 82.63/83.17 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 82.63/83.17 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 82.63/83.17 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 82.63/83.17 Found (eq_ref0 b) as proof of (((eq Prop) b) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 82.63/83.17 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 82.63/83.17 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 82.63/83.17 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 82.63/83.17 Found proj1:(forall (A:Prop) (B:Prop), (((and A) B)->A))
% 82.63/83.17 Instantiate: a:=(forall (A:Prop) (B:Prop), (((and A) B)->A)):Prop
% 82.63/83.17 Found proj1 as proof of a
% 82.63/83.17 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 82.63/83.17 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 82.63/83.17 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 82.63/83.17 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 82.63/83.17 Found ((conj00 (fact_5_A5 W)) proj1) as proof of (P a)
% 82.63/83.17 Found (((conj0 a) (fact_5_A5 W)) proj1) as proof of (P a)
% 82.63/83.17 Found ((((conj ((inconsistency_P X0) W)) a) (fact_5_A5 W)) proj1) as proof of (P a)
% 82.63/83.17 Found ((((conj ((inconsistency_P X0) W)) a) (fact_5_A5 W)) proj1) as proof of (P a)
% 82.63/83.17 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 82.63/83.17 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 82.63/83.17 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) W00)->False)
% 82.63/83.17 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) W00)->False)
% 89.34/89.92 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 89.34/89.92 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 89.34/89.92 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 89.34/89.92 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 89.34/89.92 Found fact_7_NE__def:(((eq (qML_mu->(qML_i->Prop))) incons1905966852QML_mu) (fun (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((incons1389517216QML_mu Y) X2) W2)->(forall (V3:qML_i), (((qML_r W2) V3)->((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V3)))))))))
% 89.34/89.92 Instantiate: b:=(forall (P:((qML_mu->(qML_i->Prop))->Prop)), ((P incons1905966852QML_mu)->(P (fun (X2:qML_mu) (W2:qML_i)=> (forall (Y:(qML_mu->(qML_i->Prop))), ((((incons1389517216QML_mu Y) X2) W2)->(forall (V3:qML_i), (((qML_r W2) V3)->((ex qML_mu) (fun (Z:qML_mu)=> ((Y Z) V3))))))))))):Prop
% 89.34/89.92 Found fact_7_NE__def as proof of a
% 89.34/89.92 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 89.34/89.92 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 89.34/89.92 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 89.34/89.92 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 89.34/89.92 Found ((conj00 (fact_5_A5 W)) fact_7_NE__def) as proof of (P a)
% 89.34/89.92 Found (((conj0 a) (fact_5_A5 W)) fact_7_NE__def) as proof of (P a)
% 89.34/89.92 Found ((((conj ((inconsistency_P X0) W)) a) (fact_5_A5 W)) fact_7_NE__def) as proof of (P a)
% 89.34/89.92 Found ((((conj ((inconsistency_P X0) W)) a) (fact_5_A5 W)) fact_7_NE__def) as proof of (P a)
% 89.34/89.92 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 89.34/89.92 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 89.34/89.92 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 89.34/89.92 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 89.34/89.92 Found fact_3_A30:=(fact_3_A3 a):((inconsistency_P inconsistency_G) a)
% 89.34/89.92 Found (fact_3_A3 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found (fact_3_A3 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found (fact_3_A3 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found x000:=(x00 x0):(((X Xb) V)->False)
% 89.34/89.92 Found (x00 x0) as proof of (((X Xb) V)->False)
% 89.34/89.92 Found (x00 x0) as proof of (((X Xb) V)->False)
% 89.34/89.92 Found (fun (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X Xb) V)->False)
% 89.34/89.92 Found (fun (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 89.34/89.92 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 89.34/89.92 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 89.34/89.92 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of a
% 89.34/89.92 Found fact_5_A50:=(fact_5_A5 a):((inconsistency_P incons1905966852QML_mu) a)
% 89.34/89.92 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found fact_5_A50:=(fact_5_A5 a):((inconsistency_P incons1905966852QML_mu) a)
% 89.34/89.92 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 89.34/89.92 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 89.34/89.92 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 89.34/89.92 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 89.34/89.92 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 89.34/89.92 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 95.28/95.91 Found x:((qML_r W) V)
% 95.28/95.91 Instantiate: W1:=W:qML_i;W0:=V:qML_i
% 95.28/95.91 Found x as proof of ((qML_r W1) W0)
% 95.28/95.91 Found x:((inconsistency_P X) a)
% 95.28/95.91 Instantiate: W0:=a:qML_i
% 95.28/95.91 Found x as proof of ((inconsistency_P X) W0)
% 95.28/95.91 Found x00:=(x0 x):(((X Xb) V)->False)
% 95.28/95.91 Found (x0 x) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (x0 x) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 95.28/95.91 Found (fun (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 95.28/95.91 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 95.28/95.91 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 95.28/95.91 Found x00:=(x0 x):(((X Xb) V)->False)
% 95.28/95.91 Found (x0 x) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (x0 x) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 95.28/95.91 Found (fun (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 95.28/95.91 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 95.28/95.91 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 95.28/95.91 Found x00:=(x0 x):(((X Xb) V)->False)
% 95.28/95.91 Found (x0 x) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (x0 x) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 95.28/95.91 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 95.28/95.91 Found (fun (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 95.28/95.91 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 95.28/95.91 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 95.28/95.91 Found eq_ref00:=(eq_ref0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))):(((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))))
% 95.28/95.91 Found (eq_ref0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) b)
% 95.28/95.91 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) b)
% 95.28/95.91 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) b)
% 95.28/95.91 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))) b)
% 95.28/95.91 Found eq_ref00:=(eq_ref0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))):(((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 101.29/101.89 Found (eq_ref0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 101.29/101.89 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 101.29/101.89 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 101.29/101.89 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 101.29/101.89 Found eq_ref00:=(eq_ref0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))):(((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 101.29/101.89 Found (eq_ref0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 101.29/101.89 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 101.29/101.89 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 101.29/101.89 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 101.29/101.89 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 101.29/101.89 Found (eq_ref0 b) as proof of (((eq qML_i) b) W)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 101.29/101.89 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 101.29/101.89 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 101.29/101.89 Found (eq_ref0 b) as proof of (((eq qML_i) b) W0)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 101.29/101.89 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 101.29/101.89 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 101.29/101.89 Found (eq_ref0 b) as proof of (((eq qML_i) b) W0)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 101.29/101.89 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 101.29/101.89 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 101.29/101.89 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 101.29/101.89 Found eq_ref00:=(eq_ref0 W):(((eq qML_i) W) W)
% 101.29/101.89 Found (eq_ref0 W) as proof of (((eq qML_i) W) b)
% 101.29/101.89 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 101.29/101.89 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 108.01/108.59 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 108.01/108.59 Found x2:((inconsistency_P X1) W0)
% 108.01/108.59 Instantiate: X2:=X1:(qML_mu->(qML_i->Prop))
% 108.01/108.59 Found x2 as proof of ((inconsistency_P X2) W0)
% 108.01/108.59 Found fact_1_A1b00:=(fact_1_A1b0 X):((((inconsistency_P X) W)->False)->((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))
% 108.01/108.59 Instantiate: b:=((((inconsistency_P X) W)->False)->((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)):Prop
% 108.01/108.59 Found fact_1_A1b00 as proof of b
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 108.01/108.59 Found x as proof of ((inconsistency_P X1) W)
% 108.01/108.59 Found ((conj00 x) fact_1_A1b00) as proof of (P b)
% 108.01/108.59 Found (((conj0 b) x) fact_1_A1b00) as proof of (P b)
% 108.01/108.59 Found ((((conj ((inconsistency_P X1) W)) b) x) fact_1_A1b00) as proof of (P b)
% 108.01/108.59 Found ((((conj ((inconsistency_P X1) W)) b) x) fact_1_A1b00) as proof of (P b)
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X1:=X:(qML_mu->(qML_i->Prop));b:=W:qML_i
% 108.01/108.59 Found x as proof of ((inconsistency_P X1) b)
% 108.01/108.59 Found eq_sym00:=(eq_sym0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))):(forall (b:Prop), ((((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)->(((eq Prop) b) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))))
% 108.01/108.59 Instantiate: b:=(forall (b:Prop), ((((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)->(((eq Prop) b) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))))):Prop
% 108.01/108.59 Found eq_sym00 as proof of b
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W0:=W:qML_i
% 108.01/108.59 Found x as proof of ((inconsistency_P X0) W0)
% 108.01/108.59 Found ((conj00 x) eq_sym00) as proof of (P b)
% 108.01/108.59 Found (((conj0 b) x) eq_sym00) as proof of (P b)
% 108.01/108.59 Found ((((conj ((inconsistency_P X0) W0)) b) x) eq_sym00) as proof of (P b)
% 108.01/108.59 Found ((((conj ((inconsistency_P X0) W0)) b) x) eq_sym00) as proof of (P b)
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));b:=W:qML_i
% 108.01/108.59 Found x as proof of ((inconsistency_P X0) b)
% 108.01/108.59 Found x:((inconsistency_P X) a)
% 108.01/108.59 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=a:qML_i
% 108.01/108.59 Found x as proof of ((inconsistency_P X0) W)
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 108.01/108.59 Found x as proof of ((inconsistency_P X1) W)
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 108.01/108.59 Found x as proof of ((inconsistency_P X1) b)
% 108.01/108.59 Found x2:((inconsistency_P X1) W0)
% 108.01/108.59 Instantiate: W1:=W0:qML_i
% 108.01/108.59 Found x2 as proof of ((inconsistency_P X1) W1)
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W0:=W:qML_i
% 108.01/108.59 Found x as proof of ((inconsistency_P X0) W0)
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));b:=W:qML_i
% 108.01/108.59 Found x as proof of ((inconsistency_P X0) b)
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 108.01/108.59 Found x as proof of ((inconsistency_P X0) W0)
% 108.01/108.59 Found eq_sym00:=(eq_sym0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))):(forall (b:Prop), ((((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)->(((eq Prop) b) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))))
% 108.01/108.59 Instantiate: b:=(forall (b:Prop), ((((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)->(((eq Prop) b) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))))):Prop
% 108.01/108.59 Found eq_sym00 as proof of b
% 108.01/108.59 Found ((conj00 x) eq_sym00) as proof of (P b)
% 108.01/108.59 Found (((conj0 b) x) eq_sym00) as proof of (P b)
% 108.01/108.59 Found ((((conj ((inconsistency_P X0) W0)) b) x) eq_sym00) as proof of (P b)
% 108.01/108.59 Found ((((conj ((inconsistency_P X0) W0)) b) x) eq_sym00) as proof of (P b)
% 108.01/108.59 Found x:((inconsistency_P X) W)
% 108.01/108.59 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));b:=W:qML_i
% 108.01/108.59 Found x as proof of ((inconsistency_P X0) b)
% 108.01/108.59 Found x:((inconsistency_P X) b)
% 128.70/129.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W0:=b:qML_i
% 128.70/129.23 Found x as proof of ((inconsistency_P X0) W0)
% 128.70/129.23 Found x:((inconsistency_P X) a)
% 128.70/129.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=a:qML_i
% 128.70/129.23 Found x as proof of ((inconsistency_P X0) W)
% 128.70/129.23 Found x:((inconsistency_P X) a)
% 128.70/129.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 128.70/129.23 Found x as proof of ((inconsistency_P X0) W)
% 128.70/129.23 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 128.70/129.23 Found (eq_ref0 b) as proof of (((eq qML_i) b) W)
% 128.70/129.23 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 128.70/129.23 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 128.70/129.23 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W)
% 128.70/129.23 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 128.70/129.23 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 128.70/129.23 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 128.70/129.23 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 128.70/129.23 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 128.70/129.23 Found x:((inconsistency_P X) W)
% 128.70/129.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 128.70/129.23 Found x as proof of ((inconsistency_P X0) W0)
% 128.70/129.23 Found x:((inconsistency_P X) W)
% 128.70/129.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 128.70/129.23 Found x as proof of ((inconsistency_P X0) b)
% 128.70/129.23 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 128.70/129.23 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 128.70/129.23 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 128.70/129.23 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 128.70/129.23 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 128.70/129.23 Found (eq_ref0 b) as proof of (((eq qML_i) b) W0)
% 128.70/129.23 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 128.70/129.23 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 128.70/129.23 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) W0)
% 128.70/129.23 Found eq_ref00:=(eq_ref0 a):(((eq qML_i) a) a)
% 128.70/129.23 Found (eq_ref0 a) as proof of (((eq qML_i) a) b)
% 128.70/129.23 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 128.70/129.23 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 128.70/129.23 Found ((eq_ref qML_i) a) as proof of (((eq qML_i) a) b)
% 128.70/129.23 Found x:((inconsistency_P X) b)
% 128.70/129.23 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 128.70/129.23 Found x as proof of ((inconsistency_P X0) W0)
% 128.70/129.23 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 128.70/129.23 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 128.70/129.23 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 128.70/129.23 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 128.70/129.23 Found eq_ref00:=(eq_ref0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))):(((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))))
% 128.70/129.23 Found (eq_ref0 (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 128.70/129.23 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 128.70/129.23 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 128.70/129.23 Found ((eq_ref Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) as proof of (((eq Prop) (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))) b)
% 128.70/129.23 Found x:((qML_r W) V)
% 128.70/129.23 Instantiate: W1:=W:qML_i;W0:=V:qML_i
% 128.70/129.23 Found x as proof of ((qML_r W1) W0)
% 128.70/129.23 Found eq_ref00:=(eq_ref0 W):(((eq qML_i) W) W)
% 128.70/129.23 Found (eq_ref0 W) as proof of (((eq qML_i) W) b0)
% 128.70/129.23 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b0)
% 128.70/129.23 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b0)
% 128.70/129.23 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b0)
% 128.70/129.23 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 128.70/129.23 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 128.70/129.23 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 128.70/129.23 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->False)
% 132.19/132.75 Found (fun (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X1 Xb) V)->(((X0 Xb) V)->False))
% 132.19/132.75 Found (fun (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))
% 132.19/132.75 Found x10:=(x1 x0):(((X Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X Xb) V)->False)
% 132.19/132.75 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 132.19/132.75 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 132.19/132.75 Found (fun (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 132.19/132.75 Found x:((qML_r W) V)
% 132.19/132.75 Instantiate: W00:=W:qML_i
% 132.19/132.75 Found x as proof of ((qML_r W00) W)
% 132.19/132.75 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 132.19/132.75 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->False)
% 132.19/132.75 Found (fun (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X1 Xb) V)->(((X0 Xb) V)->False))
% 132.19/132.75 Found (fun (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))
% 132.19/132.75 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 132.19/132.75 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->False)
% 132.19/132.75 Found (fun (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X1 Xb) V)->(((X0 Xb) V)->False))
% 132.19/132.75 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of b
% 132.19/132.75 Found fact_3_A30:=(fact_3_A3 W0):((inconsistency_P inconsistency_G) W0)
% 132.19/132.75 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 132.19/132.75 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 132.19/132.75 Found (fact_3_A3 W0) as proof of ((inconsistency_P X0) W0)
% 132.19/132.75 Found x10:=(x1 x0):(((X Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X Xb) V)->False)
% 132.19/132.75 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 132.19/132.75 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 132.19/132.75 Found (fun (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 132.19/132.75 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 132.19/132.75 Found x10:=(x1 x0):(((X Xb) V)->False)
% 132.19/132.75 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.90 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.90 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 134.31/134.90 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 134.31/134.90 Found (fun (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 134.31/134.90 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 134.31/134.90 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of b
% 134.31/134.90 Found x10:=(x1 x0):(((X Xb) V)->False)
% 134.31/134.90 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.90 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.90 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 134.31/134.90 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 134.31/134.90 Found (fun (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 134.31/134.91 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 134.31/134.91 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 134.31/134.91 Found x10:=(x1 x0):(((X Xb) V)->False)
% 134.31/134.91 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 134.31/134.91 Found (fun (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 134.31/134.91 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 134.31/134.91 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 134.31/134.91 Found fact_5_A50:=(fact_5_A5 W0):((inconsistency_P incons1905966852QML_mu) W0)
% 134.31/134.91 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 134.31/134.91 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 134.31/134.91 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 134.31/134.91 Found x10:=(x1 x0):(((X Xb) V)->False)
% 134.31/134.91 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 134.31/134.91 Found (fun (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 134.31/134.91 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 134.31/134.91 Found (fun (V:qML_i) (x0:((qML_r b) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 134.31/134.91 Found x10:=(x1 x0):(((X Xb) V)->False)
% 134.31/134.91 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (x1 x0) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 134.31/134.91 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 134.31/134.91 Found (fun (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 134.31/134.91 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 134.31/134.91 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 134.31/134.91 Found eq_ref00:=(eq_ref0 W):(((eq qML_i) W) W)
% 145.71/146.26 Found (eq_ref0 W) as proof of (((eq qML_i) W) b)
% 145.71/146.26 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 145.71/146.26 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 145.71/146.26 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 145.71/146.26 Found x10:=(x1 x0):(((X Xb) V)->False)
% 145.71/146.26 Found (x1 x0) as proof of (((X Xb) V)->False)
% 145.71/146.26 Found (x1 x0) as proof of (((X Xb) V)->False)
% 145.71/146.26 Found (fun (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X Xb) V)->False)
% 145.71/146.26 Found (fun (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 145.71/146.26 Found (fun (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 145.71/146.26 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 145.71/146.26 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x1:((X0 Xb) V))=> (x1 x0)) as proof of b
% 145.71/146.26 Found eq_ref00:=(eq_ref0 W0):(((eq qML_i) W0) W0)
% 145.71/146.26 Found (eq_ref0 W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found eq_ref00:=(eq_ref0 W0):(((eq qML_i) W0) W0)
% 145.71/146.26 Found (eq_ref0 W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found eq_ref00:=(eq_ref0 W1):(((eq qML_i) W1) W1)
% 145.71/146.26 Found (eq_ref0 W1) as proof of (((eq qML_i) W1) b)
% 145.71/146.26 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 145.71/146.26 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 145.71/146.26 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 145.71/146.26 Found x2:((inconsistency_P X1) W0)
% 145.71/146.26 Instantiate: X2:=X1:(qML_mu->(qML_i->Prop));W:=W0:qML_i
% 145.71/146.26 Found x2 as proof of ((inconsistency_P X2) W)
% 145.71/146.26 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 145.71/146.26 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 145.71/146.26 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 145.71/146.26 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 145.71/146.26 Found eq_ref00:=(eq_ref0 W0):(((eq qML_i) W0) W0)
% 145.71/146.26 Found (eq_ref0 W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 145.71/146.26 Found eq_ref00:=(eq_ref0 W1):(((eq qML_i) W1) W1)
% 145.71/146.26 Found (eq_ref0 W1) as proof of (((eq qML_i) W1) b)
% 145.71/146.26 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 145.71/146.26 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 145.71/146.26 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 145.71/146.26 Found x:((inconsistency_P X) b)
% 145.71/146.26 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 145.71/146.26 Found x as proof of ((inconsistency_P X1) W)
% 145.71/146.26 Found x:((inconsistency_P X) b)
% 145.71/146.26 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 145.71/146.26 Found x as proof of ((inconsistency_P X1) W)
% 145.71/146.26 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 145.71/146.26 Instantiate: b:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 145.71/146.26 Found conj as proof of b
% 145.71/146.26 Found fact_5_A50:=(fact_5_A5 W0):((inconsistency_P incons1905966852QML_mu) W0)
% 145.71/146.26 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 145.71/146.26 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 145.71/146.26 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 145.71/146.26 Found ((conj00 (fact_5_A5 W0)) conj) as proof of (P b)
% 145.71/146.26 Found (((conj0 b) (fact_5_A5 W0)) conj) as proof of (P b)
% 145.71/146.26 Found ((((conj ((inconsistency_P X0) W0)) b) (fact_5_A5 W0)) conj) as proof of (P b)
% 145.71/146.26 Found ((((conj ((inconsistency_P X0) W0)) b) (fact_5_A5 W0)) conj) as proof of (P b)
% 145.71/146.26 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 145.71/146.26 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 145.71/146.26 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 145.71/146.26 Found (fact_3_A3 W) as proof of ((inconsistency_P X1) W)
% 145.71/146.26 Found x0:((qML_r W) V)
% 145.71/146.26 Instantiate: W:=V:qML_i;W0:=W:qML_i
% 145.71/146.26 Found x0 as proof of ((qML_r W0) W)
% 145.71/146.26 Found x:((qML_r W) V)
% 145.71/146.26 Instantiate: W:=V:qML_i;W0:=W:qML_i
% 145.71/146.26 Found x as proof of ((qML_r W0) W)
% 145.71/146.26 Found x:((qML_r W) V)
% 145.71/146.26 Instantiate: W1:=W:qML_i;W0:=V:qML_i
% 154.54/155.07 Found x as proof of ((qML_r W1) W0)
% 154.54/155.07 Found x30:=(x3 x2):(((X1 Xb0) V0)->False)
% 154.54/155.07 Found (x3 x2) as proof of (((X1 Xb0) V0)->False)
% 154.54/155.07 Found (x3 x2) as proof of (((X1 Xb0) V0)->False)
% 154.54/155.07 Found (fun (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((X1 Xb0) V0)->False)
% 154.54/155.07 Found (fun (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 154.54/155.07 Found (fun (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 154.54/155.07 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 154.54/155.07 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 154.54/155.07 Found x2:((inconsistency_P X1) W0)
% 154.54/155.07 Instantiate: W1:=W0:qML_i
% 154.54/155.07 Found x2 as proof of ((inconsistency_P X1) W1)
% 154.54/155.07 Found fact_5_A50:=(fact_5_A5 b):((inconsistency_P incons1905966852QML_mu) b)
% 154.54/155.07 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 154.54/155.07 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 154.54/155.07 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 154.54/155.07 Found fact_5_A50:=(fact_5_A5 W0):((inconsistency_P incons1905966852QML_mu) W0)
% 154.54/155.07 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 154.54/155.07 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 154.54/155.07 Found (fact_5_A5 W0) as proof of ((inconsistency_P X0) W0)
% 154.54/155.07 Found x:((inconsistency_P X) W0)
% 154.54/155.07 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=W0:qML_i
% 154.54/155.07 Found x as proof of ((inconsistency_P X0) W)
% 154.54/155.07 Found fact_3_A30:=(fact_3_A3 b):((inconsistency_P inconsistency_G) b)
% 154.54/155.07 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 154.54/155.07 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 154.54/155.07 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 154.54/155.07 Found x00:=(x0 x):(((X Xb) V)->False)
% 154.54/155.07 Found (x0 x) as proof of (((X Xb) V)->False)
% 154.54/155.07 Found (x0 x) as proof of (((X Xb) V)->False)
% 154.54/155.07 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 154.54/155.07 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 154.54/155.07 Found (fun (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 154.54/155.07 Found (fun (V:qML_i) (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 154.54/155.07 Found (fun (V:qML_i) (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 154.54/155.07 Found x:((inconsistency_P X) W0)
% 154.54/155.07 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W0:=b:qML_i
% 154.54/155.07 Found x as proof of ((inconsistency_P X0) W)
% 154.54/155.07 Found fact_3_A30:=(fact_3_A3 W1):((inconsistency_P inconsistency_G) W1)
% 154.54/155.07 Found (fact_3_A3 W1) as proof of ((inconsistency_P X1) W1)
% 154.54/155.07 Found (fact_3_A3 W1) as proof of ((inconsistency_P X1) W1)
% 154.54/155.07 Found (fact_3_A3 W1) as proof of ((inconsistency_P X1) W1)
% 154.54/155.07 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 154.54/155.07 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 154.54/155.07 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 154.54/155.07 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->False)
% 154.54/155.07 Found (fun (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X1 Xb) V)->(((X0 Xb) V)->False))
% 154.54/155.07 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))
% 154.54/155.07 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))
% 154.54/155.07 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))
% 154.54/155.07 Found fact_0_A1a100:=(fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)->False)
% 154.54/155.07 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 167.79/168.35 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2)) as proof of (((inconsistency_P X2) W0)->False)
% 167.79/168.35 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2)) as proof of (((inconsistency_P X2) W0)->False)
% 167.79/168.35 Found (fact_1_A1b01 (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W0)
% 167.79/168.35 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W0)
% 167.79/168.35 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W0)
% 167.79/168.35 Found x00:=(x0 x):(((X Xb) V)->False)
% 167.79/168.35 Found (x0 x) as proof of (((X Xb) V)->False)
% 167.79/168.35 Found (x0 x) as proof of (((X Xb) V)->False)
% 167.79/168.35 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 167.79/168.35 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 167.79/168.35 Found (fun (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 167.79/168.35 Found (fun (V:qML_i) (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 167.79/168.35 Found (fun (V:qML_i) (x:((qML_r W0) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 167.79/168.35 Found x0:((qML_r W) V)
% 167.79/168.35 Instantiate: W1:=W:qML_i;W0:=V:qML_i
% 167.79/168.35 Found x0 as proof of ((qML_r W1) W0)
% 167.79/168.35 Found x0:((qML_r W0) V)
% 167.79/168.35 Instantiate: W:=V:qML_i;W1:=W0:qML_i
% 167.79/168.35 Found x0 as proof of ((qML_r W1) W)
% 167.79/168.35 Found x0:((qML_r W0) V)
% 167.79/168.35 Instantiate: W2:=W0:qML_i;W1:=V:qML_i
% 167.79/168.35 Found x0 as proof of ((qML_r W2) W1)
% 167.79/168.35 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 167.79/168.35 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 167.79/168.35 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 167.79/168.35 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X0 Xb) V)->False)
% 167.79/168.35 Found (fun (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((X1 Xb) V)->(((X0 Xb) V)->False))
% 167.79/168.35 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))
% 167.79/168.35 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False))))
% 167.79/168.35 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x1:((X1 Xb) V))=> (x1 x0)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X0 Xb) V)->False)))))
% 167.79/168.35 Found x0:((qML_r W0) V)
% 167.79/168.35 Instantiate: W:=V:qML_i;W1:=W0:qML_i
% 167.79/168.35 Found x0 as proof of ((qML_r W1) W)
% 167.79/168.35 Found eq_ref00:=(eq_ref0 W0):(((eq qML_i) W0) W0)
% 167.79/168.35 Found (eq_ref0 W0) as proof of (((eq qML_i) W0) b)
% 167.79/168.35 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 167.79/168.35 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 167.79/168.35 Found ((eq_ref qML_i) W0) as proof of (((eq qML_i) W0) b)
% 167.79/168.35 Found x0:((qML_r W0) V)
% 167.79/168.35 Instantiate: W2:=W0:qML_i;W1:=V:qML_i
% 167.79/168.35 Found x0 as proof of ((qML_r W2) W1)
% 167.79/168.35 Found eq_ref00:=(eq_ref0 W1):(((eq qML_i) W1) W1)
% 167.79/168.35 Found (eq_ref0 W1) as proof of (((eq qML_i) W1) b)
% 167.79/168.35 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 167.79/168.35 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 167.79/168.35 Found ((eq_ref qML_i) W1) as proof of (((eq qML_i) W1) b)
% 167.79/168.35 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 167.79/168.35 Found (fact_3_A3 W) as proof of ((inconsistency_P X3) W)
% 167.79/168.35 Found (fact_3_A3 W) as proof of ((inconsistency_P X3) W)
% 167.79/168.35 Found (fact_3_A3 W) as proof of ((inconsistency_P X3) W)
% 167.79/168.35 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 167.79/168.35 Found (fact_3_A3 W) as proof of ((inconsistency_P X2) W)
% 167.79/168.35 Found (fact_3_A3 W) as proof of ((inconsistency_P X2) W)
% 167.79/168.35 Found (fact_3_A3 W) as proof of ((inconsistency_P X2) W)
% 176.62/177.18 Found eq_ref00:=(eq_ref0 W):(((eq qML_i) W) W)
% 176.62/177.18 Found (eq_ref0 W) as proof of (((eq qML_i) W) b)
% 176.62/177.18 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 176.62/177.18 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 176.62/177.18 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 176.62/177.18 Found x2:((inconsistency_P X1) W0)
% 176.62/177.18 Instantiate: X2:=X1:(qML_mu->(qML_i->Prop));W:=W0:qML_i
% 176.62/177.18 Found x2 as proof of ((inconsistency_P X2) W)
% 176.62/177.18 Found eq_ref00:=(eq_ref0 W00):(((eq qML_i) W00) W00)
% 176.62/177.18 Found (eq_ref0 W00) as proof of (((eq qML_i) W00) b)
% 176.62/177.18 Found ((eq_ref qML_i) W00) as proof of (((eq qML_i) W00) b)
% 176.62/177.18 Found ((eq_ref qML_i) W00) as proof of (((eq qML_i) W00) b)
% 176.62/177.18 Found ((eq_ref qML_i) W00) as proof of (((eq qML_i) W00) b)
% 176.62/177.18 Found x2:((inconsistency_P X1) W)
% 176.62/177.18 Instantiate: X3:=X1:(qML_mu->(qML_i->Prop))
% 176.62/177.18 Found x2 as proof of ((inconsistency_P X3) W)
% 176.62/177.18 Found x:((inconsistency_P X) W)
% 176.62/177.18 Instantiate: X3:=X:(qML_mu->(qML_i->Prop))
% 176.62/177.18 Found x as proof of ((inconsistency_P X3) W)
% 176.62/177.18 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 176.62/177.18 Found (fact_3_A3 W) as proof of ((inconsistency_P X2) W)
% 176.62/177.18 Found (fact_3_A3 W) as proof of ((inconsistency_P X2) W)
% 176.62/177.18 Found (fact_3_A3 W) as proof of ((inconsistency_P X2) W)
% 176.62/177.18 Found x2:((inconsistency_P X1) W0)
% 176.62/177.18 Instantiate: X2:=X1:(qML_mu->(qML_i->Prop))
% 176.62/177.18 Found x2 as proof of ((inconsistency_P X2) W)
% 176.62/177.18 Found x:((inconsistency_P X) W)
% 176.62/177.18 Instantiate: X2:=X:(qML_mu->(qML_i->Prop))
% 176.62/177.18 Found x as proof of ((inconsistency_P X2) W0)
% 176.62/177.18 Found x:((inconsistency_P X) b)
% 176.62/177.18 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=b:qML_i
% 176.62/177.18 Found x as proof of ((inconsistency_P X0) W)
% 176.62/177.18 Found x00:=(x0 x):(((X Xb) V)->False)
% 176.62/177.18 Found (x0 x) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (x0 x) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 176.62/177.18 Found (fun (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 176.62/177.18 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 176.62/177.18 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 176.62/177.18 Found x:((inconsistency_P X) W)
% 176.62/177.18 Instantiate: X2:=X:(qML_mu->(qML_i->Prop))
% 176.62/177.18 Found x as proof of ((inconsistency_P X2) W0)
% 176.62/177.18 Found x:((inconsistency_P X) b)
% 176.62/177.18 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=b:qML_i
% 176.62/177.18 Found x as proof of ((inconsistency_P X0) W)
% 176.62/177.18 Found x00:=(x0 x):(((X Xb) V)->False)
% 176.62/177.18 Found (x0 x) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (x0 x) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 176.62/177.18 Found (fun (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 176.62/177.18 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 176.62/177.18 Found (fun (V:qML_i) (x:((qML_r b) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 176.62/177.18 Found x000:=(x00 x0):(((X Xb) V)->False)
% 176.62/177.18 Found (x00 x0) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (x00 x0) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (fun (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X Xb) V)->False)
% 176.62/177.18 Found (fun (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 176.62/177.18 Found (fun (x0:((qML_r W0) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 176.62/177.18 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((qML_r W0) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 176.62/177.18 Found (fun (V:qML_i) (x0:((qML_r W0) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of b
% 192.87/193.40 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 192.87/193.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 192.87/193.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 192.87/193.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 192.87/193.40 Found fact_5_A50:=(fact_5_A5 b):((inconsistency_P incons1905966852QML_mu) b)
% 192.87/193.40 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 192.87/193.40 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 192.87/193.40 Found fact_3_A30:=(fact_3_A3 b):((inconsistency_P inconsistency_G) b)
% 192.87/193.40 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 192.87/193.40 Found (fact_3_A3 b) as proof of ((inconsistency_P X0) b)
% 192.87/193.40 Found fact_5_A50:=(fact_5_A5 b):((inconsistency_P incons1905966852QML_mu) b)
% 192.87/193.40 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 192.87/193.40 Found (fact_5_A5 b) as proof of ((inconsistency_P X0) b)
% 192.87/193.40 Found x30:=(x3 x2):(((X1 Xb0) V0)->False)
% 192.87/193.40 Found (x3 x2) as proof of (((X1 Xb0) V0)->False)
% 192.87/193.40 Found (x3 x2) as proof of (((X1 Xb0) V0)->False)
% 192.87/193.40 Found (fun (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((X1 Xb0) V0)->False)
% 192.87/193.40 Found (fun (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 192.87/193.40 Found (fun (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 192.87/193.40 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 192.87/193.40 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 192.87/193.40 Found eq_ref00:=(eq_ref0 W):(((eq qML_i) W) W)
% 192.87/193.40 Found (eq_ref0 W) as proof of (((eq qML_i) W) b)
% 192.87/193.40 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 192.87/193.40 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 192.87/193.40 Found ((eq_ref qML_i) W) as proof of (((eq qML_i) W) b)
% 192.87/193.40 Found x30:=(x3 x2):(((X1 Xb0) V0)->False)
% 192.87/193.40 Found (x3 x2) as proof of (((X1 Xb0) V0)->False)
% 192.87/193.40 Found (x3 x2) as proof of (((X1 Xb0) V0)->False)
% 192.87/193.40 Found (fun (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((X1 Xb0) V0)->False)
% 192.87/193.40 Found (fun (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 192.87/193.40 Found (fun (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 192.87/193.40 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 192.87/193.40 Found (fun (V0:qML_i) (x2:((qML_r W) V0)) (Xb0:qML_mu) (x3:((X2 Xb0) V0))=> (x3 x2)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 192.87/193.40 Found x000:=(x00 x0):(((X Xb) V)->False)
% 192.87/193.40 Found (x00 x0) as proof of (((X Xb) V)->False)
% 192.87/193.40 Found (x00 x0) as proof of (((X Xb) V)->False)
% 192.87/193.40 Found (fun (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X Xb) V)->False)
% 192.87/193.40 Found (fun (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 192.87/193.40 Found (fun (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 192.87/193.40 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 192.87/193.40 Found (fun (V:qML_i) (x0:((qML_r W) V)) (Xb:qML_mu) (x00:((X0 Xb) V))=> (x00 x0)) as proof of a
% 192.87/193.40 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 192.87/193.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 192.87/193.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 192.87/193.40 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 192.87/193.40 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 192.87/193.40 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 192.87/193.40 Found x2:((inconsistency_P X1) W)
% 192.87/193.40 Instantiate: X2:=X1:(qML_mu->(qML_i->Prop))
% 192.87/193.40 Found x2 as proof of ((inconsistency_P X2) W)
% 192.87/193.40 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 192.87/193.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 205.74/206.27 Found (fact_5_A5 W) as proof of ((inconsistency_P X0) W)
% 205.74/206.27 Found x2:((inconsistency_P X1) W)
% 205.74/206.27 Instantiate: X2:=X1:(qML_mu->(qML_i->Prop))
% 205.74/206.27 Found x2 as proof of ((inconsistency_P X2) W)
% 205.74/206.27 Found fact_0_A1a100:=(fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0)->False)
% 205.74/206.27 Instantiate: X2:=(fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 205.74/206.27 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2)) as proof of (((inconsistency_P X2) W0)->False)
% 205.74/206.27 Found (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2)) as proof of (((inconsistency_P X2) W0)->False)
% 205.74/206.27 Found (fact_1_A1b01 (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 205.74/206.27 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 205.74/206.27 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 205.74/206.27 Found ((fact_1_A1b0 X2) (fun (x3:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W0))=> ((fact_0_A1a10 x3) x2))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X2 Y) Z)->False))) W)
% 205.74/206.27 Found x40:=(x4 x3):(((X2 Xb0) V0)->False)
% 205.74/206.27 Found (x4 x3) as proof of (((X2 Xb0) V0)->False)
% 205.74/206.27 Found (x4 x3) as proof of (((X2 Xb0) V0)->False)
% 205.74/206.27 Found (fun (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->False)
% 205.74/206.27 Found (fun (Xb0:qML_mu) (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (((X3 Xb0) V0)->(((X2 Xb0) V0)->False))
% 205.74/206.27 Found (fun (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X3 Xb) V0)->(((X2 Xb) V0)->False)))
% 205.74/206.27 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X3 Xb) V0)->(((X2 Xb) V0)->False))))
% 205.74/206.27 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X3 Xb) V)->(((X2 Xb) V)->False)))))
% 205.74/206.27 Found x40:=(x4 x3):(((X2 Xb0) V0)->False)
% 205.74/206.27 Found (x4 x3) as proof of (((X2 Xb0) V0)->False)
% 205.74/206.27 Found (x4 x3) as proof of (((X2 Xb0) V0)->False)
% 205.74/206.27 Found (fun (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->False)
% 205.74/206.27 Found (fun (Xb0:qML_mu) (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (((X3 Xb0) V0)->(((X2 Xb0) V0)->False))
% 205.74/206.27 Found (fun (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X3 Xb) V0)->(((X2 Xb) V0)->False)))
% 205.74/206.27 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X3 Xb) V0)->(((X2 Xb) V0)->False))))
% 205.74/206.27 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X3 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X3 Xb) V)->(((X2 Xb) V)->False)))))
% 205.74/206.27 Found x:((qML_r W0) V)
% 205.74/206.27 Instantiate: W00:=W0:qML_i;W:=V:qML_i
% 205.74/206.27 Found x as proof of ((qML_r W00) W)
% 205.74/206.27 Found x:((inconsistency_P X) W)
% 205.74/206.27 Instantiate: X2:=X:(qML_mu->(qML_i->Prop))
% 205.74/206.27 Found x as proof of ((inconsistency_P X2) W0)
% 205.74/206.27 Found x:((inconsistency_P X) W)
% 205.74/206.27 Instantiate: X2:=X:(qML_mu->(qML_i->Prop))
% 205.74/206.27 Found x as proof of ((inconsistency_P X2) W)
% 205.74/206.27 Found x:((inconsistency_P X) W)
% 205.74/206.27 Instantiate: X2:=X:(qML_mu->(qML_i->Prop))
% 205.74/206.27 Found x as proof of ((inconsistency_P X2) W0)
% 205.74/206.27 Found x40:=(x4 x3):(((X1 Xb0) V0)->False)
% 205.74/206.27 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 205.74/206.27 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 205.74/206.27 Found (fun (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->False)
% 205.74/206.27 Found (fun (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 209.59/210.16 Found (fun (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 209.59/210.16 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 209.59/210.16 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 209.59/210.16 Found x:((qML_r W) V)
% 209.59/210.16 Instantiate: W:=V:qML_i;W0:=W:qML_i
% 209.59/210.16 Found x as proof of ((qML_r W0) W)
% 209.59/210.16 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 209.59/210.16 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 209.59/210.16 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) a)->False)
% 209.59/210.16 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) a)->False)
% 209.59/210.16 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 209.59/210.16 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 209.59/210.16 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 209.59/210.16 Found x:((inconsistency_P X) W)
% 209.59/210.16 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 209.59/210.16 Found x as proof of ((inconsistency_P X1) W0)
% 209.59/210.16 Found x:((inconsistency_P X) W)
% 209.59/210.16 Instantiate: X2:=X:(qML_mu->(qML_i->Prop))
% 209.59/210.16 Found x as proof of ((inconsistency_P X2) W)
% 209.59/210.16 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 209.59/210.16 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 209.59/210.16 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) a)->False)
% 209.59/210.16 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) a)->False)
% 209.59/210.16 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 209.59/210.16 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 209.59/210.16 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 209.59/210.16 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 209.59/210.16 Found x40:=(x4 x3):(((X1 Xb0) V0)->False)
% 209.59/210.16 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 209.59/210.16 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 209.59/210.16 Found (fun (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->False)
% 209.59/210.16 Found (fun (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 209.59/210.16 Found (fun (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 209.59/210.16 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 226.67/227.21 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 226.67/227.21 Found fact_5_A50:=(fact_5_A5 a):((inconsistency_P incons1905966852QML_mu) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found x:((inconsistency_P X) W)
% 226.67/227.21 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 226.67/227.21 Found x as proof of ((inconsistency_P X1) W0)
% 226.67/227.21 Found x:((inconsistency_P X) W)
% 226.67/227.21 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 226.67/227.21 Found x as proof of ((inconsistency_P X1) W0)
% 226.67/227.21 Found fact_0_A1a000:=(fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)):(((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W)->False)
% 226.67/227.21 Instantiate: X0:=(fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False)):(qML_mu->(qML_i->Prop))
% 226.67/227.21 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) a)->False)
% 226.67/227.21 Found (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x)) as proof of (((inconsistency_P X0) a)->False)
% 226.67/227.21 Found (fact_1_A1b01 (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 226.67/227.21 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 226.67/227.21 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 226.67/227.21 Found ((fact_1_A1b0 X0) (fun (x0:((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X Y) Z)->False))) W))=> ((fact_0_A1a00 x0) x))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X0 Y) Z)->False))) W)
% 226.67/227.21 Found fact_5_A50:=(fact_5_A5 a):((inconsistency_P incons1905966852QML_mu) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found fact_5_A50:=(fact_5_A5 a):((inconsistency_P incons1905966852QML_mu) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found (fact_5_A5 a) as proof of ((inconsistency_P X0) a)
% 226.67/227.21 Found eq_ref00:=(eq_ref0 b):(((eq qML_i) b) b)
% 226.67/227.21 Found (eq_ref0 b) as proof of (((eq qML_i) b) b0)
% 226.67/227.21 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 226.67/227.21 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 226.67/227.21 Found ((eq_ref qML_i) b) as proof of (((eq qML_i) b) b0)
% 226.67/227.21 Found x:((inconsistency_P X) W)
% 226.67/227.21 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 226.67/227.21 Found x as proof of ((inconsistency_P X1) W0)
% 226.67/227.21 Found x:((inconsistency_P X) a)
% 226.67/227.21 Instantiate: W0:=a:qML_i
% 226.67/227.21 Found x as proof of ((inconsistency_P X) W0)
% 226.67/227.21 Found x:((inconsistency_P X) W)
% 226.67/227.21 Instantiate: X2:=X:(qML_mu->(qML_i->Prop))
% 226.67/227.21 Found x as proof of ((inconsistency_P X2) W)
% 226.67/227.21 Found x00:=(x0 x):(((X Xb) V)->False)
% 226.67/227.21 Found (x0 x) as proof of (((X Xb) V)->False)
% 226.67/227.21 Found (x0 x) as proof of (((X Xb) V)->False)
% 226.67/227.21 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 226.67/227.21 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 226.67/227.21 Found (fun (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 226.67/227.21 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 226.67/227.21 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 230.15/230.72 Found x:((inconsistency_P X) W)
% 230.15/230.72 Instantiate: X1:=X:(qML_mu->(qML_i->Prop));W0:=W:qML_i
% 230.15/230.72 Found x as proof of ((inconsistency_P X1) W0)
% 230.15/230.72 Found x:((inconsistency_P X) W)
% 230.15/230.72 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 230.15/230.72 Found x as proof of ((inconsistency_P X1) W)
% 230.15/230.72 Found x400:=(x40 x1):False
% 230.15/230.72 Found (x40 x1) as proof of False
% 230.15/230.72 Found ((x4 x3) x1) as proof of False
% 230.15/230.72 Found ((x4 x3) x1) as proof of False
% 230.15/230.72 Found (fun (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of False
% 230.15/230.72 Found (fun (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (((X1 Xb0) V0)->False)
% 230.15/230.72 Found (fun (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (((X0 Xb0) V0)->(((X1 Xb0) V0)->False))
% 230.15/230.72 Found (fun (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False)))
% 230.15/230.72 Found (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (((qML_r b) V0)->(forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False))))
% 230.15/230.72 Found (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))
% 230.15/230.72 Found ((conj01 (fact_5_A5 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1))) as proof of ((and ((inconsistency_P X0) b)) (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 230.15/230.72 Found (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1))) as proof of ((and ((inconsistency_P X0) b)) (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 230.15/230.72 Found (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1))) as proof of ((and ((inconsistency_P X0) b)) (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 230.15/230.72 Found (fact_2_A2001 (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 230.15/230.72 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 230.15/230.72 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 230.15/230.72 Found x:((inconsistency_P X) W)
% 230.15/230.72 Instantiate: X1:=X:(qML_mu->(qML_i->Prop));W1:=W:qML_i
% 230.15/230.72 Found x as proof of ((inconsistency_P X1) W1)
% 230.15/230.72 Found x00:=(x0 x):(((X Xb) V)->False)
% 230.15/230.72 Found (x0 x) as proof of (((X Xb) V)->False)
% 230.15/230.72 Found (x0 x) as proof of (((X Xb) V)->False)
% 230.15/230.72 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 230.15/230.72 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 230.15/230.72 Found (fun (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 230.15/230.72 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 233.69/234.20 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 233.69/234.20 Found x00:=(x0 x):(((X Xb) V)->False)
% 233.69/234.20 Found (x0 x) as proof of (((X Xb) V)->False)
% 233.69/234.20 Found (x0 x) as proof of (((X Xb) V)->False)
% 233.69/234.20 Found (fun (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X Xb) V)->False)
% 233.69/234.20 Found (fun (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((X0 Xb) V)->(((X Xb) V)->False))
% 233.69/234.20 Found (fun (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))
% 233.69/234.20 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False))))
% 233.69/234.20 Found (fun (V:qML_i) (x:((qML_r a) V)) (Xb:qML_mu) (x0:((X0 Xb) V))=> (x0 x)) as proof of (forall (V:qML_i), (((qML_r a) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X Xb) V)->False)))))
% 233.69/234.20 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 233.69/234.20 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 233.69/234.20 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 233.69/234.20 Found (fact_5_A5 W) as proof of ((inconsistency_P X1) W)
% 233.69/234.20 Found x:((inconsistency_P X) W)
% 233.69/234.20 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 233.69/234.20 Found x as proof of ((inconsistency_P X1) W0)
% 233.69/234.20 Found x:((inconsistency_P X) W)
% 233.69/234.20 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W2:=W:qML_i
% 233.69/234.20 Found x as proof of ((inconsistency_P X0) W2)
% 233.69/234.20 Found x:((inconsistency_P X) W)
% 233.69/234.20 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 233.69/234.20 Found x as proof of ((inconsistency_P X1) W)
% 233.69/234.20 Found x400:=(x40 x1):False
% 233.69/234.20 Found (x40 x1) as proof of False
% 233.69/234.20 Found ((x4 x3) x1) as proof of False
% 233.69/234.20 Found ((x4 x3) x1) as proof of False
% 233.69/234.20 Found (fun (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of False
% 233.69/234.20 Found (fun (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (((X1 Xb0) V0)->False)
% 233.69/234.20 Found (fun (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (((X0 Xb0) V0)->(((X1 Xb0) V0)->False))
% 233.69/234.20 Found (fun (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False)))
% 233.69/234.20 Found (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (((qML_r b) V0)->(forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False))))
% 233.69/234.20 Found (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)) as proof of (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))
% 233.69/234.20 Found ((conj01 (fact_3_A3 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1))) as proof of ((and ((inconsistency_P X0) b)) (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 233.69/234.20 Found (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1))) as proof of ((and ((inconsistency_P X0) b)) (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 233.69/234.20 Found (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1))) as proof of ((and ((inconsistency_P X0) b)) (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 233.69/234.20 Found (fact_2_A2001 (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 233.69/234.20 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 246.86/247.40 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 246.86/247.40 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r b) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_3_A3 b)) (fun (V0:qML_i) (x1:((qML_r b) V0)) (Xb0:qML_mu) (x3:((X0 Xb0) V0)) (x4:((X1 Xb0) V0))=> ((x4 x3) x1)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 246.86/247.40 Found x40:=(x4 x3):(((X1 Xb0) V0)->False)
% 246.86/247.40 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 246.86/247.40 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 246.86/247.40 Found (fun (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->False)
% 246.86/247.40 Found (fun (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 246.86/247.40 Found (fun (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 246.86/247.40 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 246.86/247.40 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 246.86/247.40 Found x:((inconsistency_P X) W)
% 246.86/247.40 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W2:=W:qML_i
% 246.86/247.40 Found x as proof of ((inconsistency_P X0) W2)
% 246.86/247.40 Found x:((inconsistency_P X) W)
% 246.86/247.40 Instantiate: W1:=W:qML_i
% 246.86/247.40 Found x as proof of ((inconsistency_P X) W1)
% 246.86/247.40 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 246.86/247.40 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 246.86/247.40 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 246.86/247.40 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 246.86/247.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 246.86/247.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 246.86/247.40 Found x:((inconsistency_P X) W)
% 246.86/247.40 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 246.86/247.40 Found x as proof of ((inconsistency_P X1) W)
% 246.86/247.40 Found x40:=(x4 x3):(((X1 Xb0) V0)->False)
% 246.86/247.40 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 246.86/247.40 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 246.86/247.40 Found (fun (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->False)
% 246.86/247.40 Found (fun (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 246.86/247.40 Found (fun (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 246.86/247.40 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 246.86/247.40 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 246.86/247.40 Found x:((inconsistency_P X) W)
% 246.86/247.40 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W0:=W:qML_i
% 246.86/247.40 Found x as proof of ((inconsistency_P X0) W0)
% 246.86/247.40 Found x:((inconsistency_P X) W)
% 246.86/247.40 Instantiate: W2:=W:qML_i
% 246.86/247.40 Found x as proof of ((inconsistency_P X) W2)
% 246.86/247.40 Found fact_5_A50:=(fact_5_A5 W):((inconsistency_P incons1905966852QML_mu) W)
% 246.86/247.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 246.86/247.40 Found (fact_5_A5 W) as proof of ((inconsistency_P X2) W)
% 246.86/247.40 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 246.86/247.40 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 246.86/247.40 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 246.86/247.40 Found x:((inconsistency_P X) W)
% 246.86/247.40 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 256.69/257.20 Found x as proof of ((inconsistency_P X0) W0)
% 256.69/257.20 Found x:((inconsistency_P X) W)
% 256.69/257.20 Instantiate: W2:=W:qML_i
% 256.69/257.20 Found x as proof of ((inconsistency_P X) W2)
% 256.69/257.20 Found x200:=(x20 x):False
% 256.69/257.20 Found (x20 x) as proof of False
% 256.69/257.20 Found ((x2 x1) x) as proof of False
% 256.69/257.20 Found ((x2 x1) x) as proof of False
% 256.69/257.20 Found (fun (x2:((X1 Xb0) V0))=> ((x2 x1) x)) as proof of False
% 256.69/257.20 Found (fun (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x)) as proof of (((X1 Xb0) V0)->False)
% 256.69/257.20 Found (fun (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x)) as proof of (((X0 Xb0) V0)->(((X1 Xb0) V0)->False))
% 256.69/257.20 Found (fun (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x)) as proof of (forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False)))
% 256.69/257.20 Found (fun (V0:qML_i) (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X0 Xb) V0)->(((X1 Xb) V0)->False))))
% 256.69/257.20 Found (fun (V0:qML_i) (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))
% 256.69/257.20 Found ((conj01 (fact_5_A5 W)) (fun (V0:qML_i) (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 256.69/257.20 Found (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 W)) (fun (V0:qML_i) (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 256.69/257.20 Found (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 W)) (fun (V0:qML_i) (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x))) as proof of ((and ((inconsistency_P X0) W)) (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False))))))
% 256.69/257.20 Found (fact_2_A2001 (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 W)) (fun (V0:qML_i) (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 256.69/257.20 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 W)) (fun (V0:qML_i) (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 256.69/257.20 Found ((fact_2_A200 (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) (((conj0 (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X0 Xb) V)->(((X1 Xb) V)->False)))))) (fact_5_A5 W)) (fun (V0:qML_i) (x:((qML_r W) V0)) (Xb0:qML_mu) (x1:((X0 Xb0) V0)) (x2:((X1 Xb0) V0))=> ((x2 x1) x)))) as proof of ((inconsistency_P (fun (Y:qML_mu) (Z:qML_i)=> (((X1 Y) Z)->False))) W)
% 256.69/257.20 Found x:((inconsistency_P X) W)
% 256.69/257.20 Instantiate: X1:=X:(qML_mu->(qML_i->Prop));W00:=W:qML_i
% 256.69/257.20 Found x as proof of ((inconsistency_P X1) W00)
% 256.69/257.20 Found x40:=(x4 x3):(((X1 Xb0) V0)->False)
% 256.69/257.20 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 256.69/257.20 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 256.69/257.20 Found (fun (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->False)
% 256.69/257.20 Found (fun (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 256.69/257.20 Found (fun (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 256.69/257.20 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 256.69/257.20 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 264.98/265.47 Found x:((inconsistency_P X) W)
% 264.98/265.47 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W10:=W:qML_i
% 264.98/265.47 Found x as proof of ((inconsistency_P X0) W10)
% 264.98/265.47 Found x40:=(x4 x3):(((X Xb0) V0)->False)
% 264.98/265.47 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (fun (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (fun (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->(((X Xb0) V0)->False))
% 264.98/265.47 Found (fun (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X Xb) V0)->False)))
% 264.98/265.47 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X Xb) V0)->False))))
% 264.98/265.47 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X Xb) V)->False)))))
% 264.98/265.47 Found x40:=(x4 x3):(((X1 Xb0) V0)->False)
% 264.98/265.47 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 264.98/265.47 Found (x4 x3) as proof of (((X1 Xb0) V0)->False)
% 264.98/265.47 Found (fun (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->False)
% 264.98/265.47 Found (fun (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->(((X1 Xb0) V0)->False))
% 264.98/265.47 Found (fun (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False)))
% 264.98/265.47 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X1 Xb) V0)->False))))
% 264.98/265.47 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X1 Xb) V)->False)))))
% 264.98/265.47 Found x:((inconsistency_P X) W)
% 264.98/265.47 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W10:=W:qML_i
% 264.98/265.47 Found x as proof of ((inconsistency_P X0) W10)
% 264.98/265.47 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 264.98/265.47 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 264.98/265.47 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 264.98/265.47 Found x40:=(x4 x3):(((X Xb0) V0)->False)
% 264.98/265.47 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (fun (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (fun (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->(((X Xb0) V0)->False))
% 264.98/265.47 Found (fun (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V0)->(((X Xb) V0)->False)))
% 264.98/265.47 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X1 Xb) V0)->(((X Xb) V0)->False))))
% 264.98/265.47 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X Xb) V)->False)))))
% 264.98/265.47 Found x40:=(x4 x3):(((X Xb0) V0)->False)
% 264.98/265.47 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (fun (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X Xb0) V0)->False)
% 264.98/265.47 Found (fun (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((X2 Xb0) V0)->(((X Xb0) V0)->False))
% 264.98/265.47 Found (fun (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X2 Xb) V0)->(((X Xb) V0)->False)))
% 264.98/265.47 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W) V0)->(forall (Xb:qML_mu), (((X2 Xb) V0)->(((X Xb) V0)->False))))
% 264.98/265.47 Found (fun (V0:qML_i) (x3:((qML_r W) V0)) (Xb0:qML_mu) (x4:((X2 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W) V)->(forall (Xb:qML_mu), (((X2 Xb) V)->(((X Xb) V)->False)))))
% 264.98/265.47 Found fact_3_A30:=(fact_3_A3 W):((inconsistency_P inconsistency_G) W)
% 264.98/265.47 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 264.98/265.47 Found (fact_3_A3 W) as proof of ((inconsistency_P X0) W)
% 283.96/284.48 Found x40:=(x4 x3):(((X Xb0) V0)->False)
% 283.96/284.48 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (fun (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (fun (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->(((X Xb0) V0)->False))
% 283.96/284.48 Found (fun (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V0)->(((X Xb) V0)->False)))
% 283.96/284.48 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X1 Xb) V0)->(((X Xb) V0)->False))))
% 283.96/284.48 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X Xb) V)->False)))))
% 283.96/284.48 Found x40:=(x4 x3):(((X Xb0) V0)->False)
% 283.96/284.48 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (fun (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (fun (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->(((X Xb0) V0)->False))
% 283.96/284.48 Found (fun (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V0)->(((X Xb) V0)->False)))
% 283.96/284.48 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X1 Xb) V0)->(((X Xb) V0)->False))))
% 283.96/284.48 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X Xb) V)->False)))))
% 283.96/284.48 Found x:((inconsistency_P X) W)
% 283.96/284.48 Instantiate: X1:=X:(qML_mu->(qML_i->Prop));b:=W:qML_i
% 283.96/284.48 Found x as proof of ((inconsistency_P X1) b)
% 283.96/284.48 Found x40:=(x4 x3):(((X Xb0) V0)->False)
% 283.96/284.48 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (x4 x3) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (fun (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((X Xb0) V0)->False)
% 283.96/284.48 Found (fun (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((X1 Xb0) V0)->(((X Xb0) V0)->False))
% 283.96/284.48 Found (fun (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (forall (Xb:qML_mu), (((X1 Xb) V0)->(((X Xb) V0)->False)))
% 283.96/284.48 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (((qML_r W0) V0)->(forall (Xb:qML_mu), (((X1 Xb) V0)->(((X Xb) V0)->False))))
% 283.96/284.48 Found (fun (V0:qML_i) (x3:((qML_r W0) V0)) (Xb0:qML_mu) (x4:((X1 Xb0) V0))=> (x4 x3)) as proof of (forall (V:qML_i), (((qML_r W0) V)->(forall (Xb:qML_mu), (((X1 Xb) V)->(((X Xb) V)->False)))))
% 283.96/284.48 Found x:((inconsistency_P X) W)
% 283.96/284.48 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));b:=W:qML_i
% 283.96/284.48 Found x as proof of ((inconsistency_P X0) b)
% 283.96/284.48 Found x:((inconsistency_P X) a)
% 283.96/284.48 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=a:qML_i
% 283.96/284.48 Found x as proof of ((inconsistency_P X0) W)
% 283.96/284.48 Found x:((inconsistency_P X) W)
% 283.96/284.48 Instantiate: X1:=X:(qML_mu->(qML_i->Prop))
% 283.96/284.48 Found x as proof of ((inconsistency_P X1) b)
% 283.96/284.48 Found x2:((inconsistency_P X1) W)
% 283.96/284.48 Instantiate: X2:=X1:(qML_mu->(qML_i->Prop))
% 283.96/284.48 Found x2 as proof of ((inconsistency_P X2) W)
% 283.96/284.48 Found x:((inconsistency_P X) W)
% 283.96/284.48 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));b:=W:qML_i
% 283.96/284.48 Found x as proof of ((inconsistency_P X0) b)
% 283.96/284.48 Found x:((inconsistency_P X) W)
% 283.96/284.48 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));b:=W:qML_i
% 283.96/284.48 Found x as proof of ((inconsistency_P X0) b)
% 283.96/284.48 Found x:((inconsistency_P X) a)
% 283.96/284.48 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 283.96/284.48 Found x as proof of ((inconsistency_P X0) W)
% 283.96/284.48 Found x:((inconsistency_P X) a)
% 283.96/284.48 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W:=a:qML_i
% 283.96/284.48 Found x as proof of ((inconsistency_P X0) W)
% 283.96/284.48 Found x:((inconsistency_P X) b)
% 283.96/284.48 Instantiate: X0:=X:(qML_mu->(qML_i->Prop));W0:=b:qML_i
% 283.96/284.48 Found x as proof of ((inconsistency_P X0) W0)
% 283.96/284.48 Found x:((inconsistency_P X) W)
% 283.96/284.48 Instantiate: X0:=X:(qML_mu->(qML_i->Prop))
% 283.96/284.48 Found x as proof of ((inconsistency_P X0) b)
% 283.96/284.48 Found x10:=(x1 x0):(((X0 Xb) V)->False)
% 283.96/284.48 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 283.96/284.48 Found (x1 x0) as proof of (((X0 Xb) V)->False)
% 283.96/284.48 Found (fun (x1:((X1 Xb) V))=> (x1 x0)) as proof of (((
%------------------------------------------------------------------------------